SAT数学练习12.docx

SAT数学练习12.docx

《SAT数学练习12.docx》由会员分享，可在线阅读，更多相关《SAT数学练习12.docx（12页珍藏版）》请在冰豆网上搜索。

SAT数学练习12

1.Considerthegraphsoffunction f andfunction g shownabove.Whichofthefollowingcouldbetrue?

A.f（x）=g（x+5）+6

B.f（x）=g（x−5）+6

C.g（x）=f（x−5）+6

D.g（x）=f（x+5）+6

2.Considerthetableshownabove.Whatisthevalueof（f∘g）（3）?

A.2

B.3

C.6

D.8

3.Thegraphofy=sinx isshownabove.Whichofthefollowingisthegraphofy=sin3x?

4.Considerthegraphsoffunction f andfunction g shownabove.Whichofthefollowingcouldbetrue?

A.f（x）=g（−x）−3

B.f（x）=g（−x−1）

C.f（x）=−g（x）−3

D.f（x）=−g（x+2）

5.Thegraphofy=f（x+2） isshownabove.Forwhichvalueof x must f（x）=4?

6.Considerthegraphsoffunction f andfunction g shownabove.Whichofthefollowingbestapproximatesthevalueof （g∘f）（3）?

A.-16.8

B.-2.8

C.5

D.9.9

7.Considerthegraphsoffunction f andfunction g shownabove.Whatisthevalueofg（f

（2））?

8.Thegraphoffunction f canbeshifted 4 tothelefttoobtainthegraphoffunction g.Iff（x）=

​​,whichofthefollowingisequivalenttofunction g?

A.g（x）=

-4

B.g（x）=

+4

C.g（x）=

D.g（x）=

9.

Considertheequationshownabove,where Q and P arefunctions.If（x​0​​,y​0​​） isapointonthegraphy=Q（x）,whichofthefollowingisapointonthegraphofy=P（x）?

A.（x​0​​,y​0​​）

B.（2x​0​​,​y​0/2​​​​）

C.（​​​x​0/2​​​​,2y​0​​）

D.（2x​0​​,2y​0​​）

10.Thegraphsy=t（x） andy=u（x） aregraphedinthe xy-planeabove.Whichofthefollowingcouldbetrue?

A.u（x）=−t（2x）

B.u（x）=−t（−2x）

C.u（x）=−t（​x/2​​）

D.u（x）=−t（−​x/2​​）

Thegraphsofy=j（x） andy=k（x） areshownabove.Whichofthefollowinggraphsisthegraphofy=j（k（x））?

12.Leth（x）=​（x+2）/（x-5）​​ .Whichofthefollowingisequivalenttoh（h（x））?

A.

B.

C.

D.

13.

Playingtennis

Playingsquash

Energyexpenditurerate

1,594​​​

2,726

​​​

Oxygenconsumptionrate

77​

​​

130​​​

Fatburningrate

49​​​

r

Thetableabovelistsaverageexpenditureratesofplayingtennisvs.playingsquashbasedonabodyweightof 55 kilograms.Theratioofeachvalueinthetenniscolumntothecorrespondingvalueinthesquashcolumnisaboutthesamethroughoutthetable.Whichofthefollowingisclosesttothefatburningrate r ofsquash?

A.27​​​

​​

B.29​​

C.83​​

D.85​​

14.Lea’scartravelsanaverageof 30 milespergallonofgas.Ifshespent $20.70 ongasfora172.5 miletrip,whatwastheapproximatecostofgasindollarspergallon?

A.$1.45 pergallon

B.$3.40 pergallon

C.$3.60 pergallon

D.$5.75 pergallon

15.KavithaandAndreiaretruckdriversfortheDelightfulDeliveryCompany,whichservicescitiesW, T,and Q.

Thedistancefromcity W tocity T is 48.5 miles.

Thedistancefromcity T tocity Q is 20 miles.

Thedistancefromcity Q tocity W is 36 miles.

IfKavitha'struckandAndrei'strucktravelatthesamespeed,andittakesAndrei 91 minutestogofromcity W tocity T,abouthowmuchtimewillittakeKavithatotravelfromcity W tocityQ?

A.19minutes

B.38minutes

C.68minutes

D.123minutes

16.Yaseminisusingasugarcookierecipewithaflourtosugarratioof 11:

6.Tomakeonebatchofcookies,2.75 cupsofflourareneeded.IfYaseminwouldliketotripletherecipe,whichofthefollowingbestapproximateshowmuchsugarshewillneed?

A.1.5cups

B.4.5cups

C.5cups

D.15cups

17.Acertainhighschoolgeometryclassismadeupoffreshmenandsophomores.Theratiooffreshmentosophomoresinthatclassis 3:

4.Ifthereare 12 sophomoresintheclass,whatisthetotalnumberofstudentsintheclass?

A.9

B.16

C.21

D.28

18.Themusicalintervalbetweentwosoundsiscalledan"octave"iftheratioofthesounds'frequenciesis 2:

1.Thefollowingtableshowsthenamesofthemusicalintervalsbetweentwosoundsbasedontheratiosofthetwosounds'frequencies.

Nameofthemusicalinterval

Ratiooftwosoundfrequencies

Majorthird

4:

5

Perfectfourth

3:

4

Perfectfifth

2:

3

Majorsixth

3:

5

Ifasoundisplayedwithafrequencyof 480 Hz,andasecondsoundisplayedwithafrequencyof 800 Hz,whatisthenameofthemusicalintervalbetweenthetwosounds?

A.Majorthird

B.Perfectfourth

C.Perfectfifth

D.Majorsixth

19.The"maximumoccupancy"ofaroomisthetotalnumberofpeoplewhocanbeinaroomwithoutcausingafirehazard.Inalargeroom,aFireSafetyCodestatesthatthemaximumoccupancyis 1 personforevery 7 squarefeet（

​​）.Acollegeishostingaconcertinahallthatis 14,721 

​​,and 1,000 peopleareexpectedtoattend.AccordingtotheFireSafetyCode,approximatelyhowmanymorepeoplecanattendtheconcertwithoutcausingafirehazard?

A.900 people

B.1,000 people

C.1,100 people

D.2,100 people

20.Adonutcompanymakescream-filleddonutsusing 

​​ cup（c） ofdoughand 

​​ tablespoon（tbsp）ofcreamperdonut.Thecompanydecidestochangetheirrecipetouse 3 timestheamountofcreamfortheir"NewTriple-StuffedDonuts!

"Ifthedonutcompany'snewrecipeusesthesameamountofdoughperdonut,whatistheratioofdoughtocreamneededtomake 12 triple-stuffeddonuts?

A.1 c:

3 tbsp

B.1 c:

6 tbsp

C.2 c:

3 tbsp

D.1 c:

2 tbsp

21.Amarineaquariumhasasmalltankandalargetank,eachcontainingonlyredandbluefish.Ineachtank,theratioofredfishtobluefishis 3 to 4.Theratiooffishinthelargetanktofishinthesmalltankis 46 to 5.Whatistheratioofbluefishinthesmalltanktoredfishinthelargetank?

A.15:

184 

B.10:

69 

C.69:

10 

D.184:

15 

22.Twoleadingbrandsofpapertowelsareonsale.BrandAhas 6 rolls,eachwith 56 sheets,for$4.29.BrandBhas 8 rolls,eachwith 48 sheets,for $5.99.Whichofthefollowingbestdescribestherelationshipbetweenthecostpersheetofthetwobrands?

A.Thetwobrandscostthesameamountpersheet.

B.BrandBcosts $0.003 morepersheetthanBrandA.

C.BrandAcosts $0.003 morepersheetthanBrandB.

D.BrandBcosts $0.03 morethanBrandA.

23.ZhangLeispent $20.00 duringhislastoutingatthebowlingalley.Thisincludedaonetimeshoerentalfeeof $3.50.Hespenttherestofthemoneyonbowlinganumberofgames.IfittookZhangLei 45 minutestobowleachgameandhespent 2 hoursand 15 minutesbowling,howmuchdiditcostpergame?

A.$3.00

B.$5.50

C.$6.67

D.$7.34

24.Mr.Bumbledeliversnewspaperstohiscommunityeveryweek.Hisroutetakes 3 hourstocomplete.Duringthefirst 2 weeksofdeliveringnewspapers,hetraveledatotalof 100 blocks.Mr.Bumbledeliversnewspapersfor 50 weekseachyear.HowmanyblocksdoesMr.Bumbletraveldeliveringnewspapersin 1 year?

A.1 block 

B.4 blocks

C.50 blocks

D.2,500 blocks